User:Subekshya Poudel/Teaching Lesson Plan 12

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Subject : Computer Graphics

Period: Fourth

Topic: 2D and 3D Transformation

Teaching Item: Representation of 2D and 3D Transformation in Homogeneous Coordinate System

Level: Bachelor 6th sem

Unit: Three

Time: 50 min

No. of Students:

Specific Objective

At the end of this lesson students will be able to:

  • understand the concept of 2D and 3D transformations in a homogeneous coordinate system
  • learn how to represent transformations using matrices in homogeneous coordinates
  • apply transformation matrices to perform various 2D and 3D transformations

Teaching Materials

  • Laptop
  • Presentation slide
  • Projector
  • Whiteboard and marker

Teaching Learning Activities

  1. At first I will ask students what they understand till now about previous topic.
  2. Then define 2D and 3D concept with example.
  3. Introduce the concept of transformations and their importance in computer graphics.
  4. Explain that transformations are used to modify the position, orientation, and size of objects in a scene.
  5. Mention that translation and rotation are fundamental transformations in both 2D and 3D graphics.
  6. Present the translation transformation for both 2D and 3D objects, explaining its mathematical foundation and implementation.
  7. Discuss how translation shifts an object's position by adding/subtracting a vector.
  8. Present the rotation transformation for both 2D and 3D objects, explaining its mathematical foundation and implementation.
  9. Discuss how rotation changes an object's orientation around a fixed point (origin or arbitrary point).
  10. Show how to input object vertices, perform translation and rotation transformations, and visualize the transformed objects.
  11. Ask students if there is any confusion on today's topic and provide guidance and assistance if needed.

Assessment

1. Explain how rotation about an arbitrary point differs from rotation about the origin.

2. Discuss the effects of translation and rotation transformations on the position and orientation of objects.

3. Implement translation to shift a 2D square by (2, 3) units and rotate it by 45 degrees about the origin. Provide the vertices of the transformed square.